They want to build the telescope on the far side of the Moon, to shield it from terrestrial (man-made) radiation. Is this premise in peril by other Moon missions? For example, do NASA or other space agencies have plans to build other bases on the far side of the moon, which could emit radiowaves which affect the LCRT?
The Moon acts as a physical shield that isolates a far-side lunar-surface telescope from radio interference from sources on the Earth's surface, the ionosphere, Earth-orbiting satellites, and the Sun's radio emission during the lunar night.
I'm also not sure it would be that much more effort. Economically speaking, most of the cost probably comes from rocket launches, which are roughly similar for Moon missions and other far-out space missions. Construction on the Moon has unique challenges (sharp regolith, temperatures), but you get a supporting base for free. If you had to supply and launch support structures, it might be more costly overal.
You don't need any supporting base when floating around. But you absolutely need to deal with the gravity there. Also, since you don't just have to reach but land on the moon too, I assume it absolutely takes a lot more effort per mass. Unless you can impact the moon at full speed.
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